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Finding the Fourth Proportional to 14,408.81, 21,602.71 and 9,717.16

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Solution

The fourth proportional to 14,408.81, 21,602.71 and 9,717.16 is: 14,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.81 : 21,602.71 = 9,717.16 : x
  2. Step 2: Convert to fraction form
    14,408.81/21,602.71 = 9,717.16/x
  3. Step 3: Cross multiply
    14,408.81x = 21,602.71 × 9,717.16
  4. Step 4: Simplify right side
    14,408.81x = 209,916,989.50
  5. Step 5: Solve for x
    x = 209,916,989.50/14,408.81
  6. Step 6: Final answer
    x = 14,568.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.